Quantum Wake Dynamics from Distinct Spectroscopic Perturbations

What the math gives to ML

The paper offers an operator-filtering mechanism: the observed propagation law of an interacting system depends on which local perturbation and measurement operator is used. In the Heisenberg chain, spin correlators reach the maximal spinon velocity v_s = pi J / 2, while bond correlators concentrate their dominant spectral weight near 0.92 J, with weaker components inside the full light cone. A transferable neural construction is to expose multiple local readout operators over a shared latent dynamical state and train them with channel-specific propagation objectives. This creates a falsifiable diagnostic and regularizer for state-space models and world models: different readout channels should have distinct dominant velocities but share a common maximal causal cone.